What is the Least Common Multiple of 52116 and 52125?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 52116 and 52125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52116 and 52125, than apply into the LCM equation.

GCF(52116,52125) = 3
LCM(52116,52125) = ( 52116 × 52125) / 3
LCM(52116,52125) = 2716546500 / 3
LCM(52116,52125) = 905515500

Least Common Multiple (LCM) of 52116 and 52125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52116 and 52125. First we will calculate the prime factors of 52116 and 52125.

Prime Factorization of 52116

Prime Factorization of 52125

Now multiplying the highest exponent prime factors to calculate the LCM of 52116 and 52125.

LCM(52116,52125) = 2² × 3¹ × 43¹ × 101¹ × 5³ × 139¹
LCM(52116,52125) = 905515500